220166102000 has 240 divisors, whose sum is σ = 584424835488. Its totient is φ = 80169523200.

The previous prime is 220166101997. The next prime is 220166102027. The reversal of 220166102000 is 201661022.

It is a happy number.

220166102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220166102000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24669539 + ... + 24678461.

Almost surely, 2^220166102000 is an apocalyptic number.

220166102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220166102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292212417744).

220166102000 is an abundant number, since it is smaller than the sum of its proper divisors (364258733488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220166102000 is a wasteful number, since it uses less digits than its factorization.

220166102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9045 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 220166102000 its reverse (201661022), we get a palindrome (220367763022).

The spelling of 220166102000 in words is "two hundred twenty billion, one hundred sixty-six million, one hundred two thousand".